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Simplifying 33 = -3w + 6(w + 3) Reorder the terms: 33 = -3w + 6(3 + w) 33 = -3w + (3 * 6 + w * 6) 33 = -3w + (18 + 6w) Reorder the terms: 33 = 18 + -3w + 6w Combine like terms: -3w + 6w = 3w 33 = 18 + 3w Solving 33 = 18 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 33 + -3w = 18 + 3w + -3w Combine like terms: 3w + -3w = 0 33 + -3w = 18 + 0 33 + -3w = 18 Add '-33' to each side of the equation. 33 + -33 + -3w = 18 + -33 Combine like terms: 33 + -33 = 0 0 + -3w = 18 + -33 -3w = 18 + -33 Combine like terms: 18 + -33 = -15 -3w = -15 Divide each side by '-3'. w = 5 Simplifying w = 5
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